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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 21Day 568

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Year 1·Month 21·Week 2

Day 568: The CNOT Gate

Day 568 of 2,016~13 min read

Learning Objectives

  • •**Write the CNOT matrix** in the computational basis
  • •**Interpret CNOT circuit notation** with control and target qubits
  • •**Create Bell states** using CNOT and Hadamard
  • •**Understand CNOT as a parity gate** for the target qubit
  • •**Verify CNOT properties** including CNOT² = I
  • •**Apply CNOT** in basic quantum circuits

Today's Schedule (7 hours)

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On this page

1 Introduction to Two-Qubit Gates2 The CNOT Gate Definition3 Matrix Representation4 Operator Form5 Circuit Notation6 Key Properties7 Creating Entanglement Bell States8 The Four Bell States9 CNOT and Parity10 CNOT in Different Bases11 Action on Product StatesQuantum Computing Connection
Day 567Day 568 of 2,016Day 569